Home
Class 12
MATHS
The equation to the line touching both t...

The equation to the line touching both the parabolas `y^2 = 4x` and `x^2 =-32y` is

A

`x+2y+4=0`

B

`2x+y - 4=0`

C

`x-2y - 4=0`

D

`x-2y+4=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE)|1 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS)|5 Videos

  • THE PARABOLA

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|2 Videos

  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

Similar Questions

Explore conceptually related problems

The equation of the line touching both the parabolas y^(2)=4xandx^(2)=-32y is ax+by+c=0. Then the value of a+b+c is ___________ .

The slope of the line touching the parabolas y^2=4x and x^2=-32y is

The slope of the line touching both the parabolas y^(2)=4x and x^(2)=-32y is (a) (1)/(2) (b) (3)/(2)( c) (1)/(8)( d) (2)/(3)

Equation of the line joining the foci of the parabola y^(2)=4x and x^(2) = -4y is

The equation of the common tangent touching the parabola y^2 = 4x and the circle ( x - 3)^2 +y^2 = 9 above the x-axis is

Statement I the equation of the common tangent to the parabolas y^2=4x and x^2=4y is x+y+1=0. Statement II Both the parabolas are reflected to each other about the line y=x.

The equation of a line which touches both the parabola y^(2)=4x and the hyperbola 3x^(2)-4y^(2)=12 is

ML KHANNA-THE PARABOLA -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The angle between the tangents drawn from the origin to the paraboala ...

    Text Solution

    |

  2. Angle between tangents drawn from the point (1, 4) to the parabola y^2...

    Text Solution

    |

  3. Two tangents are drawn from the point (-2, - 1) to the parabola y^2 = ...

    Text Solution

    |

  4. Any tangent to a parabola y^2 = 4ax and perpendicular to it from the f...

    Text Solution

    |

  5. The two parabolas y^(2)=4x" and "x^(2)=4 intersect at a point P, whose...

    Text Solution

    |

  6. Consider a circle with its centre lying on the focus of the parabola, ...

    Text Solution

    |

  7. The equation to the line touching both the parabolas y^2 = 4x and x^2 ...

    Text Solution

    |

  8. If y=2x+3 is a tangent to the parabola y^2=24 x , then is distance fro...

    Text Solution

    |

  9. TP, TQ are tangents to a parabola y^2 = 4ax, p1, p2, p3 are the length...

    Text Solution

    |

  10. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

  11. Two parabolas y^2 = 4a(x-lamda) and x^2 = 4a(y -mu) always touch each ...

    Text Solution

    |

  12. If the circle x^2 + y^2 +2lamdax=0,lamdain R touches the parabola y^2 ...

    Text Solution

    |

  13. The equation of the common tangent to the curve y^(2) = 8x " and " xy ...

    Text Solution

    |

  14. The equation to the common tangent to the parabolas y^2= 2x and x^2 = ...

    Text Solution

    |

  15. Equations of the common tangents of the circles x^2+ y^2 = 2a^2 and th...

    Text Solution

    |

  16. The common tangent(s) of y=x^2 and y=-x^2 + 4x – 4 is (are) :

    Text Solution

    |

  17. If the line y=x sqrt3 - 3 cuts the parabola y^2 = x+2 at Pand Q and if...

    Text Solution

    |

  18. The ratio of area of triangle inscribed in a parabola to the area of t...

    Text Solution

    |

  19. If perpendiculars be drawn from any two fixed points on the axis of a ...

    Text Solution

    |

  20. A tangent and a normal are drawn at the point P (16,16) of the parabol...

    Text Solution

    |